A quantum cloning game with applications to quantum position verification

• URL: http://arxiv.org/abs/2410.22157v1
• Date: Tue, 29 Oct 2024 15:53:19 GMT
• Title: A quantum cloning game with applications to quantum position verification
• Authors: Llorenç Escolà-Farràs, Léo Colisson Palais, Florian Speelman,
• Abstract summary: We introduce a quantum cloning game in which $k$ separate collaborative parties receive a classical input. We provide the optimal winning probability of such a game for every number of parties $k$, and show that it decays exponentially when the game is played $n$ times in parallel.
• Score: 0.0
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• Abstract: We introduce a quantum cloning game in which $k$ separate collaborative parties receive a classical input, determining which of them has to share a maximally entangled state with an additional party (referee). We provide the optimal winning probability of such a game for every number of parties $k$, and show that it decays exponentially when the game is played $n$ times in parallel. These results have applications to quantum cryptography, in particular in the topic of quantum position verification, where we show security of the routing protocol (played in parallel), and a variant of it, in the random oracle model.

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